a. At the intersection of two balls of radius R, the centers of which are at a distance l from each other, two "crescents" are formed, uniformly charged with dissimilar electric charges. Volume density of electric charge on the left −ρ, on the right ρ. Prove that the electric field in the area where the balls intersect is uniform. Find the intensity of this field.
b. Using the task results from task 6.2.14a but and applying the method of the limited value: l → 0, ρ→∞, lρ = const, find the distribution charge level on area of interest radius R, which will give a uniform electric field of intensity E inside the sphere. How is the maximum surface charge density related to the field strength?